Senior officials close to the FBI chief said he has privately asked the department to dismiss the claims as they imply that the FBI has acted illegally, The New York Times reported.

White House press secretary Sean Spicer said earlier this week, that the President had not spoken to the FBI head over the claims, but said “there’s no question that something happened.”

He insisted that the President is not the subject of a counterintelligence investigation concerning contacts with Russia, but he admitted that the White House does not know whether Mr Trump is being investigated.

Two senior senators leading the congressional inquiry into Russia’s alleged efforts to sway the US election have asked the FBI and Justice Department to release any information they have on Mr Trump’s claim that Mr Obama ordered the wiretapping during the election campaign.

In a letter addressed to Mr Comey and acting deputy attorney general, General Dana Boente, Republican Lindsey Graham and Democrat Sheldon Whitehouse wrote: “We request that the Department of Justice provide us copies of any warrant applications and court orders ... related to wiretaps of President Trump, the Trump campaign, or Trump Tower.”

The senators said they would take very seriously “any abuse of wiretapping authorities for political reasons”.

They added: “We would be equally alarmed to learn that a court found enough evidence of criminal activity or contact with a foreign power to legally authorise a wiretap.”

“Given how great the executive’s power is, accusations by the President can’t be treated asymmetrically,” Harvard Law School professor Noah Feldman wrote in an article for Bloomberg. “If the alleged action would be impeachable if true, so must be the allegation if false.

“Anything else would give the President the power to distort democracy by calling his opponents criminals without ever having to prove it.”

Representatives for Mr Obama have vehemently denied that the former President made any kind of surveillance order on Trump Tower.